On symmetric power L-invariants of Iwahori level Hilbert modular forms

@article{Harron2013OnSP,
  title={On symmetric power L-invariants of Iwahori level Hilbert modular forms},
  author={R. Harron and Robert Andrei Jorza},
  journal={American Journal of Mathematics},
  year={2013},
  volume={139},
  pages={1605 - 1647}
}
  • R. Harron, Robert Andrei Jorza
  • Published 2013
  • Mathematics
  • American Journal of Mathematics
  • abstract:We compute the arithmetic ${\cal L}$-invariants (of Greenberg-Benois) of twists of symmetric powers of $p$-adic Galois representations attached to Iwahori level Hilbert modular forms (under some technical conditions). Our method uses the automorphy of symmetric powers and the study of analytic Galois representations on $p$-adic families of automorphic forms over symplectic and unitary groups. Combining these families with some explicit plethysm in the representation theory of ${\rm GL… CONTINUE READING
    7 Citations

    References

    SHOWING 1-10 OF 62 REFERENCES